Details

Time bar (total: 3.2s)

sample28.0ms

Algorithm
intervals
Results
12.0ms503×body80valid

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2213
3483
41333
54373
619263
750023
done50023

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (exp (* y y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×add-exp-log
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 18
Calls
1 calls:
12.0ms
(* x (exp (* y y)))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* x (exp (* y y)))

simplify145.0ms

Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07494
127381
2101581
3490981
4500181
done500181

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (sqrt (exp (* y y))))
0.0b
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r*
11×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt *-un-lft-identity sqrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×*-commutative add-log-exp unswap-sqr
Counts
2 → 43
Calls
2 calls:
15.0ms
(* x (sqrt (exp (* y y))))
37.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

series69.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* x (sqrt (exp (* y y))))
29.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

simplify66.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0143326
1712270
22633260
35001260
done5001260

prune79.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (cbrt (exp (* y y))))
0.0b
(* (* x (* (sqrt (exp (* y y))) (fabs (cbrt (exp (* y y)))))) (sqrt (cbrt (exp (* y y)))))
0.0b
(cbrt (exp (* y y)))
0.0b
(cbrt (exp (* y y)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
13×add-exp-log cbrt-prod add-sqr-sqrt add-cbrt-cube
12×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
9×associate-*r*
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
2×rem-sqrt-square sqrt-pow1
1×pow1/2 associate-*l* *-commutative
Counts
4 → 67
Calls
4 calls:
4.0ms
(sqrt (cbrt (exp (* y y))))
103.0ms
(* (* x (* (sqrt (exp (* y y))) (fabs (cbrt (exp (* y y)))))) (sqrt (cbrt (exp (* y y)))))
2.0ms
(cbrt (exp (* y y)))
3.0ms
(cbrt (exp (* y y)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(sqrt (cbrt (exp (* y y))))
101.0ms
(* (* x (* (sqrt (exp (* y y))) (fabs (cbrt (exp (* y y)))))) (sqrt (cbrt (exp (* y y)))))
100.0ms
(cbrt (exp (* y y)))
102.0ms
(cbrt (exp (* y y)))

simplify41.0ms

Counts
79 → 79
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0253758
11218669
25001643
done5001643

prune274.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (exp (* y y)))
0.0b
(cbrt (exp (* y y)))
0.0b
(* (* x (* (sqrt (exp (* y y))) (fabs (* (* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y))))) (cbrt (cbrt (exp (* y y)))))))) (sqrt (cbrt (exp (* y y)))))
0.0b
(* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y)))))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
39×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
20×pow1
18×associate-*r*
15×add-exp-log
13×add-cbrt-cube
10×associate-*l*
9×swap-sqr unswap-sqr
8×pow1/3 pow-prod-down
7×prod-exp cbrt-unprod
6×sqrt-prod
4×add-log-exp
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 103
Calls
4 calls:
2.0ms
(cbrt (exp (* y y)))
2.0ms
(cbrt (exp (* y y)))
133.0ms
(* (* x (* (sqrt (exp (* y y))) (fabs (* (* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y))))) (cbrt (cbrt (exp (* y y)))))))) (sqrt (cbrt (exp (* y y)))))
41.0ms
(* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y)))))

series435.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (exp (* y y)))
107.0ms
(cbrt (exp (* y y)))
103.0ms
(* (* x (* (sqrt (exp (* y y))) (fabs (* (* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y))))) (cbrt (cbrt (exp (* y y)))))))) (sqrt (cbrt (exp (* y y)))))
120.0ms
(* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y)))))

simplify60.0ms

Counts
115 → 115
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
03231707
114961485
250011401
done50011401

prune351.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01825
11825
done1825

end0.0ms

sample622.0ms

Algorithm
intervals
Results
288.0ms15848×body80valid